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Finding the Fourth Proportional to 464,573.40, 696,389.40 and 314,828.70

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Solution

The fourth proportional to 464,573.40, 696,389.40 and 314,828.70 is: 471,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,573.40 : 696,389.40 = 314,828.70 : x
  2. Step 2: Convert to fraction form
    464,573.40/696,389.40 = 314,828.70/x
  3. Step 3: Cross multiply
    464,573.40x = 696,389.40 × 314,828.70
  4. Step 4: Simplify right side
    464,573.40x = 219,243,369,495.78
  5. Step 5: Solve for x
    x = 219,243,369,495.78/464,573.40
  6. Step 6: Final answer
    x = 471,924.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.